Atkin-Lehner |
2+ 3+ 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26418b |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
4220160 |
Modular degree for the optimal curve |
Δ |
-3.3727233456805E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -3 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11501777,17416218165] |
[a1,a2,a3,a4,a6] |
Generators |
[-737:160035:1] |
Generators of the group modulo torsion |
j |
-168274613005711664879531161/33727233456805021478688 |
j-invariant |
L |
2.1642040056623 |
L(r)(E,1)/r! |
Ω |
0.11163139824826 |
Real period |
R |
0.9231930730974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79254bn1 |
Quadratic twists by: -3 |